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Finding the Fourth Proportional to 673.52, 1,009.56 and 456.08

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Solution

The fourth proportional to 673.52, 1,009.56 and 456.08 is: 683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.52 : 1,009.56 = 456.08 : x
  2. Step 2: Convert to fraction form
    673.52/1,009.56 = 456.08/x
  3. Step 3: Cross multiply
    673.52x = 1,009.56 × 456.08
  4. Step 4: Simplify right side
    673.52x = 460,440.12
  5. Step 5: Solve for x
    x = 460,440.12/673.52
  6. Step 6: Final answer
    x = 683.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.